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Numerical study of vortex pattern in framework of two-band Ginzburg-Landau theory

Year 2011, Volume: 60 Issue: 2, 1 - 9, 01.08.2011
https://doi.org/10.1501/Commua1_0000000671

Abstract

Numerical modeling of vortex nucleation in external magnetic field
in two-band superconductor using modified Ginzburg-Landau theory is conducted. Results of simulation experiments for a two-band superconducting
films MgB 2 near the critical temperature in perpendicular magnetic field is
presented. Obtained results seems interesting from the point of investigation
of pecularities of vortex dynamics in systems with complex order parameter
and another possible applications.

References

  • V.L.Ginzburg, L.D.Landau, JETP. 20.1064 (1950).
  • A.A.Abrikosov Fundamentals of the theory of metals, Elsevier Science (1998).
  • P. Konsin, N. Kristoğel, and B. Sorkin, J. Phys.: Condens. Matter 10, 6533 (1998).
  • V. Z. Kresin and S. A. Wolf, Phys. Rev. B 46, 6458(1992).
  • A. Busomann-Holder, R. Micnas, and A. R. Bishop,Eur. Phys. J. B 37, 345 (2003).
  • H. Suhl, B. T. Mattias, and L. R. Walker, Phys. Rev. Lett. 3, 552 (1959).
  • V. A. Moskalenko, Fiz. Met. Metalloved. 8, 503 (1959).
  • S. V. Shulga, S.-L. Drechsler, H. Echrig, H. Rosner,and W. Pickett, Condmat/0103154 (2001).
  • S. V. Shulga, S.-L. Drechsler, K. H. Muller, G. Fuchs,K. Winzer, M. Heinecke, and K. Krug, Phys. Rev. Lett.80, 1730 (1998).
  • M. Doria, et al Phys Rev B41,6335(1990).
  • Q. Du, et al SIAM J. appl. Math, 53, 689(1993).
  • M.Machida, et al Phys. Rev.Lett. 71, 3206 (1993).
  • A.J. Berlinsky et al Phys. Rev.Lett.75, 2200(1995).
  • A.I. Larkin, A.A. Varlamov, Oxford Press, Theory of *uctuations in superconductors, (2007).
  • L. Aslamazov, A.I.Larkin, Soviet Solid State Physics,10, 1104(1968).
  • I. N. Askerzade, A.Gencer et al , Supercond. Sci. Technol. 15, L13(2002).
  • I. N. Askerzade, Physica C 390, 281 (2003).
  • I. N. Askerzade, JETP Letters 81, 583 (2005).
  • I. N. Askerzade, Physics Uspekhi 49, 1003 (2006).
  • A. Shcmid ,Phys. Kondens. Matter,5, 302(1966).
  • M.K. Kwong , H.G. Kaper, J.Comput. Phys.,119,120(1995).
  • J.F.Thompson, Z.U. A. Warsi and C.W. Martin , Numerical Grid Generation,Elsevier.New York(1985).
  • I.N. Askerzade, B Tanatar , Communications in Theoretical Physics, 51, 563 (2009)
  • Current address : Computer Engineering Department of Engineering Faculty, Ankara Univer- sity, Fatih Caddesi-195,Keçiören , Ankara, TURKEY E-mail address : URL: http://communications.science.ankara.edu.tr
Year 2011, Volume: 60 Issue: 2, 1 - 9, 01.08.2011
https://doi.org/10.1501/Commua1_0000000671

Abstract

References

  • V.L.Ginzburg, L.D.Landau, JETP. 20.1064 (1950).
  • A.A.Abrikosov Fundamentals of the theory of metals, Elsevier Science (1998).
  • P. Konsin, N. Kristoğel, and B. Sorkin, J. Phys.: Condens. Matter 10, 6533 (1998).
  • V. Z. Kresin and S. A. Wolf, Phys. Rev. B 46, 6458(1992).
  • A. Busomann-Holder, R. Micnas, and A. R. Bishop,Eur. Phys. J. B 37, 345 (2003).
  • H. Suhl, B. T. Mattias, and L. R. Walker, Phys. Rev. Lett. 3, 552 (1959).
  • V. A. Moskalenko, Fiz. Met. Metalloved. 8, 503 (1959).
  • S. V. Shulga, S.-L. Drechsler, H. Echrig, H. Rosner,and W. Pickett, Condmat/0103154 (2001).
  • S. V. Shulga, S.-L. Drechsler, K. H. Muller, G. Fuchs,K. Winzer, M. Heinecke, and K. Krug, Phys. Rev. Lett.80, 1730 (1998).
  • M. Doria, et al Phys Rev B41,6335(1990).
  • Q. Du, et al SIAM J. appl. Math, 53, 689(1993).
  • M.Machida, et al Phys. Rev.Lett. 71, 3206 (1993).
  • A.J. Berlinsky et al Phys. Rev.Lett.75, 2200(1995).
  • A.I. Larkin, A.A. Varlamov, Oxford Press, Theory of *uctuations in superconductors, (2007).
  • L. Aslamazov, A.I.Larkin, Soviet Solid State Physics,10, 1104(1968).
  • I. N. Askerzade, A.Gencer et al , Supercond. Sci. Technol. 15, L13(2002).
  • I. N. Askerzade, Physica C 390, 281 (2003).
  • I. N. Askerzade, JETP Letters 81, 583 (2005).
  • I. N. Askerzade, Physics Uspekhi 49, 1003 (2006).
  • A. Shcmid ,Phys. Kondens. Matter,5, 302(1966).
  • M.K. Kwong , H.G. Kaper, J.Comput. Phys.,119,120(1995).
  • J.F.Thompson, Z.U. A. Warsi and C.W. Martin , Numerical Grid Generation,Elsevier.New York(1985).
  • I.N. Askerzade, B Tanatar , Communications in Theoretical Physics, 51, 563 (2009)
  • Current address : Computer Engineering Department of Engineering Faculty, Ankara Univer- sity, Fatih Caddesi-195,Keçiören , Ankara, TURKEY E-mail address : URL: http://communications.science.ankara.edu.tr
There are 24 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

N. Askerzade (askerbeylı) I. This is me

Publication Date August 1, 2011
Published in Issue Year 2011 Volume: 60 Issue: 2

Cite

APA Askerzade (askerbeylı) I., N. (2011). Numerical study of vortex pattern in framework of two-band Ginzburg-Landau theory. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 60(2), 1-9. https://doi.org/10.1501/Commua1_0000000671
AMA Askerzade (askerbeylı) I. N. Numerical study of vortex pattern in framework of two-band Ginzburg-Landau theory. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2011;60(2):1-9. doi:10.1501/Commua1_0000000671
Chicago Askerzade (askerbeylı) I., N. “Numerical Study of Vortex Pattern in Framework of Two-Band Ginzburg-Landau Theory”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60, no. 2 (August 2011): 1-9. https://doi.org/10.1501/Commua1_0000000671.
EndNote Askerzade (askerbeylı) I. N (August 1, 2011) Numerical study of vortex pattern in framework of two-band Ginzburg-Landau theory. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60 2 1–9.
IEEE N. Askerzade (askerbeylı) I., “Numerical study of vortex pattern in framework of two-band Ginzburg-Landau theory”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 60, no. 2, pp. 1–9, 2011, doi: 10.1501/Commua1_0000000671.
ISNAD Askerzade (askerbeylı) I., N. “Numerical Study of Vortex Pattern in Framework of Two-Band Ginzburg-Landau Theory”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60/2 (August 2011), 1-9. https://doi.org/10.1501/Commua1_0000000671.
JAMA Askerzade (askerbeylı) I. N. Numerical study of vortex pattern in framework of two-band Ginzburg-Landau theory. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2011;60:1–9.
MLA Askerzade (askerbeylı) I., N. “Numerical Study of Vortex Pattern in Framework of Two-Band Ginzburg-Landau Theory”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 60, no. 2, 2011, pp. 1-9, doi:10.1501/Commua1_0000000671.
Vancouver Askerzade (askerbeylı) I. N. Numerical study of vortex pattern in framework of two-band Ginzburg-Landau theory. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2011;60(2):1-9.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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